Symmetric quotient stacks and Heisenberg actions

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Andreas Krug

Externe Organisationen

  • Philipps-Universität Marburg
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Details

OriginalspracheEnglisch
Seiten (von - bis)11-22
Seitenumfang12
FachzeitschriftMathematische Zeitschrift
Jahrgang288
Ausgabenummer1-2
Frühes Online-Datum29 März 2017
PublikationsstatusVeröffentlicht - 1 Feb. 2018
Extern publiziertJa

Abstract

For every smooth projective variety X, we construct an action of the Heisenberg algebra on the direct sum of the Grothendieck groups of all the symmetric quotient stacks [ Xn/ Sn] which contains the Fock space as a subrepresentation. The action is induced by functors on the level of the derived categories which form a weak categorification of the action.

ASJC Scopus Sachgebiete

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Symmetric quotient stacks and Heisenberg actions. / Krug, Andreas.
in: Mathematische Zeitschrift, Jahrgang 288, Nr. 1-2, 01.02.2018, S. 11-22.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Krug A. Symmetric quotient stacks and Heisenberg actions. Mathematische Zeitschrift. 2018 Feb 1;288(1-2):11-22. Epub 2017 Mär 29. doi: 10.1007/s00209-017-1874-3
Krug, Andreas. / Symmetric quotient stacks and Heisenberg actions. in: Mathematische Zeitschrift. 2018 ; Jahrgang 288, Nr. 1-2. S. 11-22.
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